Abstract
We argue that neutrino mass and dark matter can arise from an approximate B − L symmetry. This idea can be realized in a minimal setup of the flipped 3-3-1 model, which discriminates lepton families while keeping universal quark families and uses only two scalar triplets in order for symmetry breaking and mass generation. This proposal contains naturally an approximate non-Abelian B − L symmetry which consequently leads to an approximate matter parity. The approximate symmetries produce small neutrino masses in terms of type II and III seesaws and may make dark matter long lived. Additionally, dark matter candidate is either unified with the Higgs doublet by gauge symmetry or acted as an inert multiplet. The Peccei-Quinn symmetry is discussed. The gauge and scalar sectors are exactly diagonalized. The signals of the new physics at colliders are examined.
Highlights
An interesting proposal of flipped 3-3-1 model has been made [50], in which in contrast with the normal setup, one of lepton families transforms differently from the remaining lepton families, whereas all quark families are identical, under SU(3)L group, in order to cancel the [SU(3)L]3 anomaly [51,52,53,54]
We argue that neutrino mass and dark matter can arise from an approximate B − L symmetry
The model is very predictive since the lepton flavor violating processes and dark matter observables are all governed by gauge principles as mediated by the new neutral gauge boson Z
Summary
Where we use the condition v , w v w and set Λ w without loss of generality. The up quark mass matrix in basis (u U ), where u = (u1 u2 u3) and U = (U1 U2 U3), is 1 huv + suv hU v + sU v mup. Using the above condition for VEVs and su, sU exotic quarks Ua are decoupled, leading to hu, hU , the ordinary quarks ua and [mu]ab. The ordinary up and down quarks get appropriate masses proportional to the weak scale v, while the exotic quarks are heavy at the 3-3-1 breaking scale w
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